track(List,List,List) -- track a user homotopy

Synopsis

• Usage:

  solsT = track(S,T,solsS)

• Function: track
• Inputs:

  • a list, S, polynomials in the start system
  • a list, T, polynomials in the target system
  • a list, solsS, start solutions
• Outputs:

  • a list, solsT, solutions of T=0 obtained by continuing solsS
• Optional inputs:

  • AffinePatches => ... (missing documentation),
  • CorrectorTolerance => ... (missing documentation),
  • finalMaxCorrSteps => ... (missing documentation),
  • gamma => ... (missing documentation),
  • maxCorrSteps => ... (missing documentation),
  • MultistepDegree => ... (missing documentation),
  • numberSuccessesBeforeIncrease => ... (missing documentation),
  • Predictor => ... (missing documentation),
  • Projectivize => ... (missing documentation),
  • RandomSeed => ... (missing documentation),
  • SLP => ... (missing documentation),
  • SLPcorrector => ... (missing documentation),
  • SLPpredictor => ... (missing documentation),
  • Software => ..., -- specify software for the solver
  • stepIncreaseFactor => ... (missing documentation),
  • tDegree => ... (missing documentation),
  • tStep => ... (missing documentation),
  • tStepMax => ... (missing documentation),
  • tStepMin => ... (missing documentation),

Description

i1 : R = CC[x,y];

i2 : S = {x^2-1,y^2-1};

i3 : T = {x^2+y^2-1, x*y};

i4 : solsS = {(1,-1),(1,1),(-1,1),(-1,-1)};

i5 : track(S,T,solsS) / first 
-- warning: experimental computation over inexact field begun
--          results not reliable (one warning given per session)

o5 = {{-1.46923e-17, -1}, {1, -3.41011e-17}, {1.46923e-17, 1}, {-1,
     ------------------------------------------------------------------------
     3.41011e-17}}

o5 : List